How many real roots does this equation have?
(a) None.
(b) One.
(c) Two.
(d) Three.
(e) Infinitely many.
- Which of the following is a 4th root of 1?
(a) 1
(b)− 1
(c)j
(d)−j
(e) All of the above
- When we take the 5th root of a number, it’s the same thing as raising that number to
the power of
(a)−5.
(b) 1/5.
(c)−1/5.
(d) 25.
(e)−25.
- Suppose x and y are real numbers. The quantity [x/(y+ 1)]^2 makes sense
(a) for all possible values of x and y.
(b) for all possible values of x and y, as long as y≠ 0.
(c) for all possible values of x and y, as long as x≠ 0.
(d) for all possible values of x and y, as long as y≠−1.
(e) for all possible values of x and y, as long as y≠ 1.
- The decimal expansion of an irrational number between 0 and 1
(a) terminates after a finite number of digits.
(b) is endless and repeating.
(c) is endless and non-repeating.
(d) can be converted to a ratio of two integers.
(e) None of the above.
- Consider the following equation:
(x−j5)^7 = 0
This equation has an imaginary root j5 with multiplicity
(a) 1.
(b)j.
Final Exam 549
